Daily Classwork: 33109

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Daily Classwork 3/31/09
Find the area of a regular octagon with an
apothem 13.2 yards long and a side 14 yards long.
Round your answer to the nearest tenth.
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10.3 Areas of polygons
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Definition of Regular Polygons

• A regular polygon is a polygon with equal sides
  and equal angles.

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Parts of Regular Polygons

• Radius, Apothem and Side of a regular polygon.

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Area of a Regular Polygon

• The area of a regular polygon is one-half the
  product of the apothem and the perimeter of the
  polygon

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Steps to finding the area of a regular polygon

• 1) Split the polygon into congruent triangles
  and find the measure of one central angle.

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Steps to finding the area of a regular polygon

• 2) With one triangle, split the triangle into
  two and find the length of the apothem.

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Steps to finding the area of a regular polygon

• 3) Find the perimeter of the regular polygon.

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Steps to finding the area of a regular polygon

• 4) Use the formula and find the area of the
  regular polygon.

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Find the area of the regular polygon

• 1) Given the regular polygon, find the measure of
  each numbered angle.

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Find the area of the regular polygon

• 2) Given the regular polygon, find the measure of
  each numbered angle.

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Find the area of the regular polygon

• 3) Find the area of a regular hexagon with an
  apothem 10.4 yards long and a side 12 yards long.
  Round your answer to the nearest tenth.

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Find the area of the regular polygon

• 4) Find the area of a regular polygon. Round your
  answer to the nearest tenth.

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Find the area of the regular polygon

• 5) Find the area of a regular hexagon with side
  length of 8 m. Round your answer to the nearest
  tenth.

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Find the area of the regular polygon

• 6) Find the area of an equilateral triangle with
  side 12.

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Find the area of the regular polygon

• 7) Find the area of a regular decagon with side
  10.